Moving mesh partial differential equations to describe nematic order dynamics

DOI10.1016/j.camwa.2010.08.014zbMath1205.82132OpenAlexW2057456628MaRDI QIDQ623163

Sumit K. Garg

Publication date: 13 February 2011

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2010.08.014

zbMATH Keywords

nematic liquid crystalsFEMorder reconstructionbiaxialityMMPDE

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (5)

Robust adaptive computation of a one-dimensional \(\mathbb Q\)-tensor model of nematic liquid crystals ⋮ A moving mesh method for modelling defects in nematic liquid crystals ⋮ A moving mesh study for diffusion induced effects in avascular tumour growth ⋮ Adaptive grid modelling for cancer cells in the early stage of invasion ⋮ Efficient Moving Mesh Methods for $Q$-Tensor Models of Nematic Liquid Crystals

Uses Software

• Matlab
• COMSOL

Cites Work

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• Director reorientation and order reconstruction: Competing mechanisms in a nematic cell
• Ordering effects in electric splay Freedericksz transitions
• Convergence analysis of finite difference approximations on equidistributed grids to a singularly perturbed boundary value problem
• On Selection of Equidistributing Meshes for Two-Point Boundary-Value Problems
• Convergence rates of symplectic Pontryagin approximations in optimal control theory
• On the numerical solution of one-dimensional PDEs using adaptive methods based on equidistribution
• Practical aspects of formulation and solution of moving mesh partial differential equations

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